How long will carrots that I've shredded in the food processor stay good in the fridge? Also what's the best way to store them?
According to the website StillTasty, fresh, raw whole or cut up carrots will last 2 to 3 weeks in the fridge.
I would think that it would be a shorter time (1 week) for shredded carrots. I'd store them in a container with a tight sealing lid, or in a plastic bag with the air squeezed out.
I have carrots (from different sources) consistently lasting a month IF: -They are whole, unpeeled, with no cuts -Are stored inside a resealable bag that you can easily squeeze the excess air out of to minimize dehydration.
I have no firm experience on storing shredded, but you get a bit of an idea how long it might last by by how quickly it will go bad in a salad (a day or two). So as @Mark said, stored properly, you could probably only hope for a week.
Side-note, if you were looking to prolong the life of shredded carrot even more, you may be able to freeze it if it's in a sealed container, but I've not seen anyone do that personally, nor can I find anything online suggesting it works well. Might be worth the experiment though.